Finding the Fourth Proportional to 9,409.94, 12,986.13 and 5,632.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,409.94 : 12,986.13 = 5,632.38 : x
2. Step 2: Convert to fraction form
   9,409.94/12,986.13 = 5,632.38/x
3. Step 3: Cross multiply
   9,409.94x = 12,986.13 × 5,632.38
4. Step 4: Simplify right side
   9,409.94x = 73,142,818.89
5. Step 5: Solve for x
   x = 73,142,818.89/9,409.94
6. Step 6: Final answer
   x = 7,772.94